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Finding the Fourth Proportional to 233,161.92, 350,092.80 and 133,434.72

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Solution

The fourth proportional to 233,161.92, 350,092.80 and 133,434.72 is: 200,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,161.92 : 350,092.80 = 133,434.72 : x
  2. Step 2: Convert to fraction form
    233,161.92/350,092.80 = 133,434.72/x
  3. Step 3: Cross multiply
    233,161.92x = 350,092.80 × 133,434.72
  4. Step 4: Simplify right side
    233,161.92x = 46,714,534,742.02
  5. Step 5: Solve for x
    x = 46,714,534,742.02/233,161.92
  6. Step 6: Final answer
    x = 200,352.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.